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两不同部件并联可修系统解的稳定性
The Stability of Solution of A Parallel Repairable System With Two Non-Identical Unit
【摘要】 用强连续算子半群理论证明了两不同部件并联可修系统解的存在唯一性和非负性 ,并通过研究相应算子的谱特征得到了该系统的稳定性 .
【Abstract】 In present paper,we study the asymptotic behavior of a parallel repairable system with two non- identical units,we prove by strongly continuous semigroups of operators theory that there exists a unique non- negative solution of the system,the stability of the solution of this system is ob- tained by studying spectral properties of the operator corresponding to this system.
【关键词】 并联;
可修系统;
共因故障;
算子半群;
【Key words】 parallel; repairable system; common- cause failure; semigroups of operators;
【Key words】 parallel; repairable system; common- cause failure; semigroups of operators;
【基金】 河南省教育厅自然科学基金 (2 0 0 0 110 0 14 )
- 【文献出处】 应用泛函分析学报 ,Acta Analysis Functionalis Applicata , 编辑部邮箱 ,2003年03期
- 【分类号】O175.6
- 【被引频次】69
- 【下载频次】223